Practice Rotation Operations - 18.5 | 18. AVL Tree Rotations | Design & Analysis of Algorithms - Vol 2
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Rotation Operations

18.5 - Rotation Operations

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What defines the slope of a node in a binary tree?

💡 Hint: Think about how we measure heights of separate subtrees.

Question 2 Easy

What is performed when the slope is +2?

💡 Hint: Consider what happens based on left properties.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What happens when the slope of a node is +2?

Left Rotation
Right Rotation
No Rotation

💡 Hint: Think about how we correct balance favoring the left subtree.

Question 2

True or False: Heights must be computed recursively for every tree operation.

True
False

💡 Hint: Remember why it's inefficient to compute heights all the time.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

In a binary tree with a series of insertions leading to an imbalance, describe how you would perform successive right and left rotations.

💡 Hint: Map out the tree after several insertions to visualize needed rotations.

Challenge 2 Hard

Explain the consequences of failing to maintain height information in nodes after rotations.

💡 Hint: Consider how balancing impacts retrieval performance.

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